In a large bowl, whisk together egg whites, cornstarch, sesame seeds, 1 teaspoon salt, and 1/2 teaspoon pepper until frothy. Add shrimp, and toss to coat.
Heat 1/4 cup oil in a large nonstick skillet over medium-high heat. Working in two or three batches, cook shrimp until golden and crisp, 2 to 3 minutes per side. Transfer to a paper towel–lined plate to drain. Add more oil to skillet if necessary for remaining batches.
Wipe skillet with a paper towel. Add orange juice, soy sauce, and sugar. Boil over high heat until syrupy and reduced to about 1/3 cup, 4 to 5 minutes. Return shrimp to skillet; add scallions, and cook until heated through and coated with sauce, about 1 minute.